Finite Math Examples

$\frac{6 x^{5} + 18 x^{4} + 6}{3 x^{2}}$

Step 1

Cancel the common factor of $6 x^{5} + 18 x^{4} + 6$ and $3$ .

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Step 1.1

Factor $3$ out of $6 x^{5}$ .

$\frac{3 (2 x^{5}) + 18 x^{4} + 6}{3 x^{2}}$

Step 1.2

Factor $3$ out of $18 x^{4}$ .

$\frac{3 (2 x^{5}) + 3 (6 x^{4}) + 6}{3 x^{2}}$

Step 1.3

Factor $3$ out of $3 (2 x^{5}) + 3 (6 x^{4})$ .

$\frac{3 (2 x^{5} + 6 x^{4}) + 6}{3 x^{2}}$

Step 1.4

Factor $3$ out of $6$ .

$\frac{3 (2 x^{5} + 6 x^{4}) + 3 \cdot 2}{3 x^{2}}$

Step 1.5

Factor $3$ out of $3 (2 x^{5} + 6 x^{4}) + 3 (2)$ .

$\frac{3 (2 x^{5} + 6 x^{4} + 2)}{3 x^{2}}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $3$ out of $3 x^{2}$ .

$\frac{3 (2 x^{5} + 6 x^{4} + 2)}{3 (x^{2})}$

Step 1.6.2

Cancel the common factor.

$\frac{3 (2 x^{5} + 6 x^{4} + 2)}{3 x^{2}}$

Step 1.6.3

Rewrite the expression.

$\frac{2 x^{5} + 6 x^{4} + 2}{x^{2}}$

Step 2

Factor $2$ out of $2 x^{5} + 6 x^{4} + 2$ .

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Step 2.1

Factor $2$ out of $2 x^{5}$ .

$\frac{2 (x^{5}) + 6 x^{4} + 2}{x^{2}}$

Step 2.2

Factor $2$ out of $6 x^{4}$ .

$\frac{2 (x^{5}) + 2 (3 x^{4}) + 2}{x^{2}}$

Step 2.3

Factor $2$ out of $2$ .

$\frac{2 (x^{5}) + 2 (3 x^{4}) + 2 (1)}{x^{2}}$

Step 2.4

Factor $2$ out of $2 (x^{5}) + 2 (3 x^{4})$ .

$\frac{2 (x^{5} + 3 x^{4}) + 2 (1)}{x^{2}}$

Step 2.5

Factor $2$ out of $2 (x^{5} + 3 x^{4}) + 2 (1)$ .

$\frac{2 (x^{5} + 3 x^{4} + 1)}{x^{2}}$